ACTIVITY No. 1 Give what is asked. 1. The volume of a cube with a 9 m side 2. The volume of a cube with an 8 in side 3. The side of a cube with a volume of 343 cu.ft. 4. The volume of a rectangular prism with the given length 5 ft., width 5 ft., height 7 ft. 5. The volume of a rectangular prism with the given length 10 ft., width 4 ft., height 5 ft.​

Answer:

900

Step-by-step explanation:

A=S^2

50265=SxS

S=√50265

S=225

P=Sx4

P=225x4

P=900

Answer:

See below

Step-by-step explanation:

The mean score and the standard deviation are needed

The actual dimension of the room on the blueprint is 136 meters by 192 meters

From the question, we have the following parameters that can be used in our computation:

Scale ratio = 1 : 40

This means that the ratio of the scale to the actual is 1:40

Also, from the question. we have

One room measures 3.4 m by 4.8 .

This means that

Actual length = 40 * 3.4 meters

Actual width = 40 * 4.8 meters

Using the above as a guide, we have the following:

We need to evaluate the products to determine the actual dimensions

So, we have

Actual length = 136 meters

Actual width = 192 meters

Hence, the actual dimension is 136 meters by 192 meters

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The statement "the expected value of an unbiased estimator is equal to the parameter whose value is being estimated" is true.

An estimator is a function of the sample data used to estimate the value of a population parameter. An estimator is said to be unbiased if its expected value is equal to the true value of the population parameter. In other words, if we were to repeatedly take samples from the population and calculate the estimator for each sample, the average value of the estimator over all the samples would be equal to the true value of the population parameter. The expected value of an unbiased estimator is a key property because it ensures that the estimator is not systematically overestimating or underestimating the population parameter. Instead, the estimator provides an unbiased estimate of the population parameter on average across all possible samples. It is important to note that not all estimators are unbiased. Biased estimators may systematically overestimate or underestimate the population parameter, leading to incorrect conclusions. Therefore, unbiasedness is a desirable property for an estimator to have.

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Answer:

\(112cm^2\)

Step-by-step explanation:

Volume of a rectangluar prism = Length x Width x Height

Volume, Length, and Width is given now we can solve for Height, c

\(V = l * w * h\)

\(80m^3 = 4m * 4m * h\)

\(h = 80m^3 / 16m^2\)

\(h = 5m\)

Surface area of a rectangular prism is A = 2(wl +hl +hw)

\(A = 2(4m * 4m + 5m * 4m + 5m * 4m)\)

\(= 2(16m^2 + 20m^2 + 20m^2)\)

\(= 2(56cm^2)\\A= 112cm^2\)

Hope this helps!
Brainliest is much appreciated!

supongo q es es 8 cm pero no creo q sería 2 o l

The closet square inch that is needed to cover the cuboid is 208 inches ( option A)

A cuboid is defined as a three-dimensional shape, that has six rectangular faces, eight vertices and twelve edges.

The surface area of cuboid is given as;

SA = 2(lb+lh+bh)

lb = 33/4 × 4 = 33 in

lh = 23/4 × 4 = 23 in

bh = 23/4 × 33/4 = 759/16

SA = 2( 23+33+759/16)

SA = 46+66+47.44

SA = 207 in

therefore the closet square inches is 208 in²

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The type of reliability being referred to in this scenario is inter-rater reliability. This means that multiple raters (in this case, Dr. Nielsen and Dr. Perry) are assessing the same individual and producing consistent results in their diagnoses.
The question is about the type of reliability when Dr. Nielsen evaluated Kris at 2-years-old and Dr. Perry evaluated him at 6-years-old, with both diagnosing him with an intellectual disability and ADHD.

The type of reliability in this scenario is known as inter-rater reliability. Inter-rater reliability refers to the consistency of measurements when different evaluators assess the same individual or situation. In this case, both Dr. Nielsen and Dr. Perry independently came to the same diagnosis, demonstrating a high level of inter-rater reliability.

Inter-rater reliability is an important aspect of psychological and diagnostic assessments as it provides confidence in the consistency of the evaluations conducted by different professionals. When multiple evaluators reach similar conclusions, it enhances the reliability and validity of the diagnoses made.

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Answer:1417-109x<100

Step-by-step explanation:

Using the line of best fit, the correct statement that describes this result is given by:

D. The result is an outlier and there is no gap in the data.

The statements are missing, and are given as follows:

A. The result is not an outlier and there is a gap in the data.

B. The result is not an outlier and there is no gap in the data.

C. The result is an outlier and there is a gap in the data.

D. The result is an outlier and there is no gap in the data.

The line of best fit gives the expected exam score for a student that studies x hours. For example, for a student that studies 16 hours, the expected score is of 90.

The actual score is 61.4%, which is significantly less than the expected score, meaning that there is an outlier. However, there are no gaps in the data-set, as as the line considers students between 0 and 20 hours, and 16 is in this interval.

This means that option D is correct.

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In order to calculate the time it will take for Andrew to settle the loan, we can use the formula for compound interest. So, it will take Andrew approximately 5.22 years to settle the loan.

The formula is given as A = P(1 + r/n)^(nt), Where: A = the final amount, P = the principal (initial amount borrowed), R = the annual interest rate, N = the number of times the interest is compounded in a year, T = the time in years.

We know that Andrew borrowed R200 000 from a bank at an annual interest rate of 5.25% compounded quarterly and that he will make repayments of R6 000 at the end of every 3 months.

Since the first repayment will be made 3 months from now, we can consider that the initial loan repayment is made at time t = 0. This means that we need to calculate the value of t when the total amount repaid is equal to the initial amount borrowed.

Using the formula for compound interest: A = P(1 + r/n)^(nt), We can calculate the quarterly interest rate:r = (5.25/100)/4 = 0.013125We also know that the quarterly repayment amount is R6 000, so the amount borrowed minus the first repayment is the present value of the loan: P = R200 000 - R6 000 = R194 000

We can now substitute these values into the formula and solve for t: R194 000(1 + 0.013125/4)^(4t) = R200 000(1 + 0.013125/4)^(4t-1) + R6 000(1 + 0.013125/4)^(4t-2) + R6 000(1 + 0.013125/4)^(4t-3) + R6 000(1 + 0.013125/4)^(4t)

Rearranging the terms gives us: R194 000(1 + 0.013125/4)^(4t) - R6 000(1 + 0.013125/4)^(4t-1) - R6 000(1 + 0.013125/4)^(4t-2) - R6 000(1 + 0.013125/4)^(4t-3) - R200 000(1 + 0.013125/4)^(4t) = 0

Using trial and error, we can solve this equation to find that t = 5.22 years (rounded to 2 decimal places). Therefore, it will take Andrew approximately 5.22 years to settle the loan.

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Answer:  

\(log_b(w^3y^4)\)

Step-by-step explanation:

To write the expression as a single logarithm, or condense it, use the properties of logarithms.  

1) The power property of logarithms states that \(log_ax^r = rlog_ax\). In other words, the exponent within a logarithm can be brought out in front so it's multiplied by the logarithm. This means that the number in front of the logarithm can also be brought inside the logarithm as an exponent.  

So, in this case, we can move the 3 and the 4 inside the logarithms as exponents. Apply this property as seen below:

\(3log_bw+4log_by\\=log_bw^3+log_by^4\)

2) The product property of logarithms states that \(log_axy = log_ax+log_ay\). In other words, the logarithm of a product is equal to the sum of the logarithms of its factors. So, in this case, write the expression as a single logarithm by taking the log (keep the same base) of the product of \(w^3\) and \(y^4\). Apply the property as seen below and find the final answer.  

\(log_bw^3+log_by^4\\=log_b(w^3y^4)\)

So, the answer is \(log_b(w^3y^4)\).

Answer:

Step-by-step explanation:

y - 11 = 6(x - 3)

y - 11 = 6x - 18

y = 6x - 7

\(52 \times 0.15 = 7.8\)

\(52 - 7.8 = 44.20\)

The sale price of the shoes is $44.20

Answer:

52*15/100=7.8$ so u will take away 7.8$ from 52$=44.2$ he has to pay.

The required value of variable "a" would be -8 which is determined by the   distributive property of multiplication,

The term "equation" refers to mathematical statements that have at least two terms with variables or integers that are equal.

The equation is below which is given in the question,

4 = 2(-2 - a) + a

Apply the distributive property of multiplication,

4 = 2 × -2 - a × 2 + a

4 = - 4 - 2a + a

Rearrange the likewise terms and apply the arithmetic operation,

- 2a + a = 4 + 4

- a = 8

Multiply by the (-) sign on both sides to get the answer,

a = -8

Hence, the required value of variable "a" is -8.

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A bicycle repair shop that offers two service packages: a tune-up and a complete overhaul.

The shop operates for 60 hours per week and receives an average of 180 bicycles each week. To analyze the capacity and utilization of the process, we need to consider the time taken at each stage and the demand for each service option. We'll break down the problem into multiple parts and provide a detailed explanation using mathematical terms.

a) Creating the Demand Matrix:

To create a demand matrix, we need to determine the number of bicycles going through each stage of the process. Let's denote the demand for tune-up as T and the demand for additional services as A.

Given that the average number of bicycles received per week is 180 and 25% of customers opt for additional services, we can calculate the demands as follows:

Demand for tune-up (T) = Total demand - Demand for additional services

T = 180 - (0.25 * 180)

T = 180 - 45

T = 135

Demand for additional services (A) = 0.25 * Total demand

A = 0.25 * 180

A = 45

Now, we can create a demand matrix based on the demand for each service option:

Demand Matrix:

Tune-up Additional Services Wheel Balancing

Tune-up  [135  0  0]

Additional [0  45  0]

Services

Total [ 135  45  0 ]

The demand matrix shows the number of bicycles flowing through each stage of the process.

b) Daily Capacity at Each Stage:

To calculate the daily capacity at each stage, we need to consider the time taken for each service option. Given that the shop operates for 60 hours per week, we can calculate the daily capacity at each stage:

Tune-up technician time per bicycle (\(T_{tuneup}\)) = 75 minutes

Additional services technician time per bicycle (\(T_{additional}\)) = 72 minutes

Wheel balancing specialist time per bicycle (\(T_{balancing}\)) = 20 minutes

Daily Capacity (C) = (60 hours * 60 minutes) / (\(T_{tuneup}\) + \(T_{additional}\) + \(T_{balancing}\))

Substituting the given values:

C = (60 * 60) / (75 + 72 + 20)

C = 21600 / 167

C ≈ 129.34 bicycles per day

Therefore, the daily capacity at each stage of the process is as follows:

Tune-up: 129 bicycles per day

Additional Services: 129 bicycles per day

Wheel Balancing: 129 bicycles per day

c) Implied Utilizations:

To find the implied utilizations, we need to compare the demand and the capacity at each stage of the process. Utilization can be calculated as the demand divided by the capacity.

Implied Utilization (U) = Demand / Daily Capacity

For the Tune-up stage:

\(U_{tuneup}\) = 135 / 129 ≈ 1.05

For the Additional Services stage:

\(U_{additional}\) = 45 / 129 ≈ 0.35

For the Wheel Balancing stage:

\(U_{balancing}\) = 0 / 129 = 0

The implied utilizations show how efficiently each stage of the process is being utilized. Utilization values greater than 1 indicate that the stage is operating beyond its capacity.

d) Weekly Capacity of the Process:

To calculate the weekly capacity of the process, we multiply the daily capacity by the number of days the shop is open per week:

Weekly Capacity = Daily Capacity * Number of days shop is open per week

Given that the shop is open for 60 hours per week, the number of days the shop is open per week can be calculated as follows:

Number of days shop is open per week = 60 hours / 24 hours per day = 2.5 days

Therefore, the weekly capacity of the process is:

Weekly Capacity = Daily Capacity * Number of days shop is open per week

Weekly Capacity = 129 bicycles per day * 2.5 days

Weekly Capacity = 322.5 bicycles per week

e) Flow Rate and Constraint Analysis:

To determine if the flow rate of the process is capacity-constrained or demand-constrained, we compare the weekly capacity to the demand for each service option.

Demand for Tune-up (\(T_{demand}\)) = 135 bicycles per week

Demand for Additional Services (\(A_{demand}\)) = 45 bicycles per week

Comparing the demands with the weekly capacity:

\(T_{demand}\) < Weekly Capacity (135 < 322.5)

\(A_{demand}\) < Weekly Capacity (45 < 322.5)

Since both the demands for tune-up and additional services are less than the weekly capacity, the flow rate of the process is demand-constrained. This means the shop has the capacity to handle the current demand without operating beyond its limits.

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Answer:

yes they are congruent.

Step-by-step explanation:

first flip the A-D shape over the y axis and then the x axis and you should have the same shape.

The upper specification limit is 2.520 mm, and the lower specification limit is 2.480 mm.  The process is not capable according to the purchaser's requirement of a capability index of 1.50.

(a) The upper specification limit (USL) is calculated by adding the process mean (2.500 mm) to the upper tolerance (0.020 mm), resulting in 2.520 mm. The lower specification limit (LSL) is calculated by subtracting the lower tolerance (0.020 mm) from the process mean, resulting in 2.480 mm.

(b) The process capability index (Cp) is calculated by dividing the tolerance width (USL - LSL) by six times the standard deviation. In this case, the tolerance width is 0.040 mm (2.520 mm - 2.480 mm) and the standard deviation is 0.004 mm. Therefore, Cp = 0.040 mm / (6 * 0.004 mm) = 1.25.

(c) The purchaser requires a capability index (Cpk) of 1.50, which measures how well the process meets the specification limits. Since Cp (1.25) is less than the desired Cpk (1.50), the process is not capable according to the purchaser's requirement. It is not good enough for the supplier either, as the Cp is less than the desired level.

(d) If the process mean were to drift to 2.497 mm, the Cp value would remain the same at 1.25. Since the Cp value is still less than the desired Cpk of 1.50, the process would still not be good enough for the supplier's needs, even with the changed process mean.

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The p-value for a z-statistic of 1.97 in a two-tailed test is 0.05. Without the necessary data, it is not possible to determine the specific value of the z-statistic in a hypothesis test for a single population mean.

To determine the p-value for a z-statistic of 1.97 for a two-tailed test, we need to calculate the area under the standard normal distribution curve beyond the z-statistic in both tails.

Using a standard normal distribution table or a statistical software, we can find that the area to the right of a z-statistic of 1.97 is approximately 0.025.

Since this is a two-tailed test, we need to consider both tails, so the p-value is twice the area in one tail, which is 0.025 * 2 = 0.05. Therefore, the p-value for a z-statistic of 1.97 in a two-tailed test is 0.05.

Regarding the z-statistic in a hypothesis test for a single population mean given specific data, the question does not provide the necessary information such as the sample mean, population mean, and standard deviation. Without this information, it is not possible to calculate the z-statistic accurately.

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Answer:

b

Step-by-step explanation:

yp

Answer:

huh

Step-by-step explanation:

Answer:

1. 60=12y

60=5*12    y=5

2. a) 96=16x+12y

b) the 12y would be changed to 10y so, 96=16x+10y  

c)  156=16x+12y the number of tickets will change if the total price goes up

Step-by-step explanation:

x= adult tickets

y=child tickets

im not sure but i think is bAnswer:

Step-by-step explanation:

b

b

b

b

bbb

b

b

b

b

b

b

b

b

b

b

b

b

b

b

b

b

b

b

b

Answer:

0.0560042

Step-by-step explanation:

The given question can be solve using quadratic formula.

The correct option is (c) \(3x^2 +8x -10=-8\).

Given:

The given equation is,

\(x=\dfrac{-8\pm\sqrt{8^2-4(3)(-1)}} {2(3)}\)---------------------------(1)

Write the general quadratic equation.

\(ax^2 + bx +c=0\)

Write the quadratic formula.

\(x =\dfrac {-b \pm \sqrt{(b^2 - 4ac)} } {2a}\)------------------------------- (2)

Compare equation (1) and (2).

\(a=3\\b=8\\c=-2\)

Substitute the value of \(a\), \(b\) and \(c\) in general quadratic.

\(3x^2 +8x -2=0\)

Subtract \(8\) from each side of above equation.

\(3x^2 +8x -2 -8=0-8\\3x^2 +8x -10=-8\)

Thus, the correct option is (c) \(3x^2 +8x -10=-8\).

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Question 9

The point (30,15) means that x = 30 and y = 15 pair up together.

Similarly, (40,25) means we have x = 40 and y = 25 paired up.

Apply the slope formula to get

m = (y2-y1)/(x2-x1)

m = (25-15)/(40-30)

m = 10/10

m = 1

The slope is 1.

It tells us that each time y goes up by 1, x is also increasing by 1.

slope = rise/run = 1/1

rise = 1, run = 1

The rise is the change in y, the run is the change in x.

This means the plant's height (y) goes up by 1 cm each time the number of days (x) goes up by 1.

In short, the plant's height is increasing by 1 cm per day

========================================================

Question 10

y varies directly with x, so y = kx for some constant k.

We're then told that x = -1 and y = -2 pair up together.

Let's find k based on those items

y = kx

y/x = k

k = y/x

k = -2/(-1)

k = 2

So y = kx becomes y = 2x

Then we're asked to find x when y = -4

y = 2x

y/2 = x

x = y/2

x = -4/2

x = -2

The conjecture "A square number is either measurable by 4 or will be after the removal of a unit" is true. If a number is a perfect square, it can be expressed as either 4k or 4k+1 for some integer k.

However, if 4 is replaced by 3 in the conjecture, it is no longer valid. Counterexamples can be found where square numbers are not necessarily divisible by 3.

To prove the conjecture that a square number is either divisible by 4 or will be after subtracting 1, we can consider two cases:

Case 1: Let's assume the square number is of the form 4k. In this case, the number is divisible by 4.

Case 2: Let's assume the square number is of the form 4k+1. In this case, if we subtract 1, we get 4k, which is divisible by 4.

Therefore, in both cases, the conjecture holds true.

However, if we replace 4 with 3 in the conjecture, it is no longer valid. Counterexamples can be found where square numbers are not necessarily divisible by 3. For example, consider the square of 5, which is 25. This number is not divisible by 3. Similarly, the square of 2 is 4, which is also not divisible by 3. Hence, the conjecture does not hold when 4 is replaced by 3.

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Answer:

A

Step-by-step explanation:

The given statement is an example of a standard measure to determine the length of an object.

The standard unit for measurement of length exists meter. Apart from the meter, we have different units such as a meter, kilometer, millimeter, feet, inches, and so on. Meter stands are also named the SI unit of length or base unit of length.

Therefore, the correct answer is option a. A standard measure to determine the length of an object.

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Answer:

Mean: 85.5%

Median: 82%

Mode: 82%

Range: 100-75=25

Step-by-step explanation:

Mean: Add all the numbers and divide by how many you use

Median: Is the middle number

Mode: The number that occurs often

Range: The biggest number minus the smallest number

( I hope this helped)

Therefore , the solution of the given problem of median  comes out to be the range is 25, the mode is 82, the mode score is 82, and the mean score is 85.375.

The median value of an organized group is the precise value that makes up the mean. In this case, the ratio between the lowest and highest 50% of the sample is a probability measurement rather than a typical measurement. To find any strange or even amounts of values, different techniques may be used to find the center and mode.

Here,

We add up all the scores and split by the total number of scores to determine the mean:

=> (82 + 78 + 82 + 80 + 100 + 96 + 75 + 91) / 8 = 85.375

So, 85.375 is the mean result.

We must arrange the scores in ascending sequence before we can determine the median:

=> 75, 78, 80, 82, 82, 91, 96, 100

The median is the average of the two middle values, which are 82 and 91, out of a total of 8 scores:

=> (82 + 91) / 2 = 86.5

The average rating is 86.5.

We deduct the lowest number from the highest score to determine the range:

=> 100 - 75 = 25

Thus, the limit is 25.

As a result, the range is 25, the mode is 82, the mode score is 82, and the mean score is 85.375.

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Answer:

where is the picture

Step-by-step explanation:

I need the triangle to be able to solve this for you

Answer:

d. the age of the insured

Step-by-step explanation:

The primary unit for figuring out a life insurance rate is the rate per thousand

Answer:

102 beads will be used for each necklace.

Step-by-step explanation:

3,264/32=102